52 lines
2.0 KiB
Markdown
52 lines
2.0 KiB
Markdown
**Study Log**
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Format: Date (title + optional link) → Notes → Questions
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Sorted newest first.
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---
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**Example**
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**2026-03-18**
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- Math Major Guide: Nonstandard Advice — https://www.youtube.com/watch?v=EE7KpcReYw4
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Notes:
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- Math isn't about speed or memorization — it's about understanding structure
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- The "right" way to study math is different from other subjects
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Questions:
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- How do I know when I've truly understood a concept vs just memorized it?
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---
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**Log** (newest first)
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**2026-03-20**
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- Lecture 1 — Intro to Cryptography (skimmed notes, pages 2–15)
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Notes:
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- Base and recursive construction of natural numbers — the "stepper function" (forgot exact term)
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Questions:
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- Most of the content is still unclear. Rather than forcing comprehension, treating this as a "gap survey" — noting what foundational topics I need before this clicks: groups, fields, modular arithmetic, cyclic structures.
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Comment:
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- Smart approach. Skim + attend lecture + log gaps = right strategy at this level. Don't fight it — just map the territory.
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---
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**2026-03-19**
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- Khan Academy: Sets & Their Representations (110 minutes) — https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sets-ncert-new/x0419e5b3b578592a:sets-and-their-representations/v/what-are-sets
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Notes:
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- Roster form: lists all elements explicitly, e.g. {1, 2, 3, ...}
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- Set-builder form: describes elements by a rule, e.g. {x: x is an odd number less than 10}
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- Sets can be empty, finite, or infinite
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Questions:
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- Still unclear on terminology: positive integer, real number, integral number, etc. — these are number classification names, not strictly a set concept. Looking for a reference to solidify these.
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- Reference: https://mathmonks.com/sets/number-sets
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Comment:
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- Notes are solid. The number classification question is actually about "number systems" — you'll encounter these more in the lecture notes when they talk about fields and groups. For now, just know that N = natural numbers, Z = integers, R = real numbers. Check out the reference above for a simple breakdown of number sets.
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